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Finding the Fourth Proportional to 2,007.64, 2,771.60 and 1,385.56

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Solution

The fourth proportional to 2,007.64, 2,771.60 and 1,385.56 is: 1,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.64 : 2,771.60 = 1,385.56 : x
  2. Step 2: Convert to fraction form
    2,007.64/2,771.60 = 1,385.56/x
  3. Step 3: Cross multiply
    2,007.64x = 2,771.60 × 1,385.56
  4. Step 4: Simplify right side
    2,007.64x = 3,840,218.10
  5. Step 5: Solve for x
    x = 3,840,218.10/2,007.64
  6. Step 6: Final answer
    x = 1,912.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.